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We review the fundamentals and highlight the differences between some commonly used definitions for the PPN gamma parameter ($\gamma$) and the gravitational slip ($\eta$). Here we stress the usefulness of a gamma-like parameter used by…

General Relativity and Quantum Cosmology · Physics 2021-08-10 Júnior D. Toniato , Davi C. Rodrigues

Using the latest most accurate values of post-Newtonian parameters $\gamma$ and $\beta$ obtained by MESSENGER we impose restrictions on the recently proposed hybrid f(R)-gravity model in its scalar-tensor representation. We show that the…

General Relativity and Quantum Cosmology · Physics 2019-10-08 P. I. Dyadina , S. P. Labazova , S. O. Alexeyev

We compute the parametrized post-Newtonian parameter $\gamma$ in the case of a static point source for multiscalar-tensor gravity with completely general nonderivative couplings and potential in the Jordan frame. Similarly to the single…

General Relativity and Quantum Cosmology · Physics 2017-01-12 Manuel Hohmann , Laur Jarv , Piret Kuusk , Erik Randla , Ott Vilson

We review the dynamical equivalence between $f(R)$ gravity in the metric formalism and scalar-tensor gravity, and use this equivalence to deduce the post-Newtonian parameters $\gamma$ and $\beta$ for a $f(R)$ theory, obtaining a result that…

General Relativity and Quantum Cosmology · Physics 2010-05-07 Monica Capone , Matteo Luca Ruggiero

We consider a recently proposed class of extended teleparallel theories of gravity, which entail a scalar field which is non-minimally coupled to the torsion of a flat, metric-compatible connection. This class of scalar-torsion theories of…

General Relativity and Quantum Cosmology · Physics 2020-01-24 Elena D. Emtsova , Manuel Hohmann

We propose a general class of scalar-teleparallel theories, which are based on a scalar field which is coupled to a flat connection with torsion and nonmetricity, and study its post-Newtonian limit using the parametrized post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2025-04-11 Manuel Hohmann , Ulbossyn Ualikhanova

The Shapiro time delay is one of the four classical tests of Einstein general theory of relativity and is commonly interpreted as a constrain on the parametrized post Newtonian (PPN) parameter gamma, which is exactly unity in general…

Instrumentation and Detectors · Physics 2026-05-28 Farhad Hakimi , Hosain Hakimi

We compute the Post-Newtonian parameter (PPN),$\gamma$, for scalar-tensor gravity theory when the action functional for the scalar field is a non-standard one, namely the Dirac-Born-Infeld (DBI) type action, used in the literature for a…

General Relativity and Quantum Cosmology · Physics 2015-05-27 N. Chandrachani Devi , Sudhakar Panda , Anjan A Sen

We study the parameterized post-Newtonian approximation in teleparallel model of gravity with a scalar field. The scalar field is non-minimally coupled to the scalar torsion as well as to the boundary term introduced in [1]. We show that,…

General Relativity and Quantum Cosmology · Physics 2017-04-06 H. Mohseni Sadjadi

The post-Newtonian parameter \gamma\ resulting from a universal scalar/matter coupling is investigated in Brans-Dicke-like Scalar-Tensor theories where the scalar potential is assumed to be negligible. Conversely to previous studies, we use…

General Relativity and Quantum Cosmology · Physics 2013-09-26 Olivier Minazzoli

The post-Newtonian parameter $\gamma$ resulting from a universal scalar/matter coupling is investigated in Brans-Dicke-like Scalar-Tensor theories where the scalar potential is assumed to be negligible. Conversely to previous studies, we…

General Relativity and Quantum Cosmology · Physics 2013-05-09 Olivier Minazzoli

The $f(R)$ gravity can be cast into the form of a scalar-tensor theory, and scalar degree of freedom can be suppressed in high-density regions by the chameleon mechanism. In this article, for the general $f(R)$ gravity, using a…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-04 Tan Liu , Xing Zhang , Wen Zhao

Solar-System constraints on a general scalar-tensor theory with generic non-minimal coupling function, non-canonical kinetic function, and scalar potential, are investigated in both the metric and Palatini formalisms. A unified…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Alexandros Karam , Samuel Sánchez López , José Jaime Terente Díaz

We derive the post-Newtonian limit of a general class of teleparallel gravity theories, whose action is given by a free function of three scalar quantities obtained from the torsion of the teleparallel connection. This class of theories is…

General Relativity and Quantum Cosmology · Physics 2020-01-24 Ulbossyn Ualikhanova , Manuel Hohmann

We study both analytically and numerically the gravitational fields of stars in f(R) gravity theories. We derive the generalized Tolman-Oppenheimer-Volkov equations for these theories and show that in metric f(R) models the Parameterized…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kimmo Kainulainen , Johanna Piilonen , Vappu Reijonen , Daniel Sunhede

In this review we aim to describe the most stringent tests of the strong equivalence principle, the fundamental principle of General Relativity, using pulsar timing. For this purpose, we first construct the parametrized post-Newtonian and…

General Relativity and Quantum Cosmology · Physics 2019-06-10 Cyril Renevey

In this article we derive the post-Newtonian limit of a class of teleparallel theories of gravity, where the action is a free function $L(T,X,Y,\phi)$ of the Torsion scalar $T$ and scalar quantities $X$ and $Y$ built from the dynamical…

General Relativity and Quantum Cosmology · Physics 2020-01-27 Kai Flathmann , Manuel Hohmann

We calculate the parameters $\gamma$ and $\beta$ in the parametrized post-Newtonian (PPN) formalism for scalar-tensor gravity (STG) with an arbitrary potential, under the assumption that the source matter is given by a non-rotating sphere…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Manuel Hohmann , Andreas Schärer

We consider a general scalar-tensor theory of gravity and review briefly different forms it can be presented (different conformal frames and scalar field parametrizations). We investigate the conditions under which its field equations and…

General Relativity and Quantum Cosmology · Physics 2015-02-02 Laur Jarv , Piret Kuusk , Margus Saal , Ott Vilson

(abridged) In this paper, we express the relativistic propagational delay of light in the space-time of a binary system (commonly known as the "Shapiro delay") as a sum of harmonics of the orbital period of the system. We do this first for…

Instrumentation and Methods for Astrophysics · Physics 2015-05-19 Paulo C. C. Freire , Norbert Wex
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